E. C. Romão, J. A. Martins, L. F. M. Moura, "Least Squares Finite Element Method for 3D Unsteady Diffusion and Reaction-Diffusion Problems," WSEAS Transactions on Fluid Mechanics, vol. 9, pp. 196-209, 2014, DOI:
E. C. Romão, J. A. Martins, L. F. M. Moura. Least Squares Finite Element Method for 3D Unsteady Diffusion and Reaction-Diffusion Problems.
WSEAS Transactions on Fluid Mechanics. 2014;9:196-209.
WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 9, 2014
Least Squares Finite Element Method for 3D Unsteady Diffusion and Reaction-Diffusion Problems
Authors: , ,
Abstract: In this paper a study to application of Least Squares Finite Element Method (LSFEM) is made and with auxiliary equations (temperature derivatives) in the solution of Transient Three-dimensional Diffusion-Reaction. In order to do so, two applications are presented and discussed, one of them Pure Diffusion and another Diffusion-Reaction, both solved towards the constructive meshes with hexahedron of 8 and 27 nodes. This analysis uses the standard L (maximum error in all meshes) and L2 (average error in all the meshes) to verify the numerical error committed in the solution.
Pages: 196-209 WSEAS Transactions on Fluid Mechanics, ISSN / E-ISSN: 1790-5087 / 2224-347X, Volume 9, 2014, Art. #18 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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